发表机构
Xiangtan University; Wuhan University; Kingfa Science and Technology Co., Ltd.（湘潭大学; 武汉大学; 金发科技股份有限公司）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究利用Lifshitz-Petrich模型和鞍点搜索技术，揭示了球形晶体与准晶体成核及相变路径，阐明了多步相变与几何失配适应模式的内在关联。
AI 中文摘要
我们利用Lifshitz-Petrich模型研究了球形六重对称晶体（C6）和十重对称准晶体（DQC）的成核、生长及固-固相变过程。通过将球谐伪谱方法与保零空间鞍点搜索技术相结合，我们解析了临界核结构和相变路径。尽管从均匀态到有序态的两种转变都涉及局部临界核的形成，但其后续生长过程在适应几何失配方面表现出不同的模式：C6形成分支畴结构以及与取向和相位失配相关的持久线缺陷，而DQC则通过局部配位重排来弛豫碰撞诱导的缺陷。解析得到的DQC到C6的路径通过一系列亚稳中间体逐步进行，这些中间体渐进地连接了这些不同的失配适应模式。其多步特征反映了新兴C6畴之间局部配位和相容性的耦合调整。这些结果揭示了相变的多步性质与适应几何失配的不同结构要求之间的内在联系。
英文摘要
We investigated the nucleation, growth, and solid-to-solid phase transition processes of spherical six-fold symmetric crystals (C6) and ten-fold symmetric quasicrystals (DQC) using the Lifshitz-Petrich model. By combining the spherical-harmonic pseudospectral method with a nullspace-preserving saddle-point search technique, we resolved the critical nucleus structures and phase transition pathways. Although both transitions from the homogeneous state to the ordered state involve the formation of localized critical nuclei, their subsequent growth processes exhibit distinct modes of accommodating geometric mismatch: C6 forms branched domain structures and persistent line defects associated with orientation and phase mismatches, whereas DQC relaxes collision-induced defects through local coordination rearrangements. The resolved DQC-to-C6 pathway proceeds through a series of metastable intermediates that progressively connect these distinct modes of mismatch accommodation. Its multi-step character reflects the coupled adjustment of local coordination and compatibility between the emerging C6 domains. These results reveal the intrinsic link between the multi-step nature of the phase transition and the distinct structural requirements for accommodating geometric mismatch.
